Properties

Base field 3.3.733.1
Label 3.3.733.1-5.1-a
Conductor 5.1
Rank not recorded

Related objects

Learn more about

Base field 3.3.733.1

Generator \(a\), with minimal polynomial \( x^{3} - x^{2} - 7 x + 8 \); class number \(1\).

Elliptic curves in class 5.1-a over 3.3.733.1

Isogeny class 5.1-a contains 2 curves linked by isogenies of degree 3.

Curve label Weierstrass Coefficients
5.1-a1 \( \bigl[a^{2} - 4\) , \( -a^{2} + 4\) , \( a^{2} + a - 5\) , \( 188 a^{2} + 287 a - 596\) , \( -218 a^{2} - 330 a + 693\bigr] \)
5.1-a2 \( \bigl[a^{2} - 4\) , \( -a^{2} + 4\) , \( a^{2} + a - 5\) , \( -32 a^{2} - 48 a + 104\) , \( 198 a^{2} + 301 a - 628\bigr] \)

Rank

Rank not yet determined.

Isogeny matrix

\(\left(\begin{array}{rr} 1 & 3 \\ 3 & 1 \end{array}\right)\)

Isogeny graph